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Finding the Fourth Proportional to 464.96, 697.92 and 336.32

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Solution

The fourth proportional to 464.96, 697.92 and 336.32 is: 504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.96 : 697.92 = 336.32 : x
  2. Step 2: Convert to fraction form
    464.96/697.92 = 336.32/x
  3. Step 3: Cross multiply
    464.96x = 697.92 × 336.32
  4. Step 4: Simplify right side
    464.96x = 234,724.45
  5. Step 5: Solve for x
    x = 234,724.45/464.96
  6. Step 6: Final answer
    x = 504.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.